I tried to play 1000fps video on vlc, google drive,etc but the irregularity in the playback is quite visible and sometimes the video gets stuck. Kindly help me out if there is a software/server where it can be played smoothly.
Since there aren't any monitors that I'm aware of that display 1000 frames per second, I assume you want to play back for viewing in realtime, but don't care about the lost data. The trick of 1000fps video is that the amount of data is pretty staggering. If the resolution is pretty limited, it might be doable on non-specialized hardware, but data rate is most likely your enemy here and is probably why you are having issues.
Your best bet is going to be to transcode in to a proxy file that is a more reasonable framerate for viewing. This will allow you to easily view the file in realtime without losing any information that you wouldn't already be losing due to the screen you are watching it on.